MecMovies 4.0 : M6.9: Gear Basics

Rotation speed $ω$ is the rotation angle $ϕ$ turned by the gear in a unit of time; therefore, the rotation speed magnitudes of the large and small gears are linked in the same manner as the rotation angles.

$ω_{large} = (\frac{R_{small}}{R_{large}}) ω_{small} = (\frac{D_{small}}{D_{large}}) ω_{small} = (\frac{N_{small}}{N_{large}}) ω_{small}$

and

$ω_{small} = (\frac{R_{large}}{R_{small}}) ω_{large} = (\frac{D_{large}}{D_{small}}) ω_{large} = (\frac{N_{large}}{N_{small}}) ω_{large}$